8 papers
Surgery on manifold operads
Xujia Chen, Connor Malin, Paolo Salvatore
We study cobordisms of a class of topological operads called ``manifold operads''. These operads are generalizations of the Fulton-MacPherson operad: an operad built from configura…
Unstable -semiadditivity as classifying Goodwillie towers
Connor Malin
A stable -category is -semiadditive if the norms for all finite group actions are equivalences. In the presence of -semiadditivity, Goodwillie calculus simplifies dra…
Unstable homotopy groups and Lie algebras
Mark Behrens, Connor Malin
We survey the role of Lie algebras in the study of unstable homotopy groups.
Koszul duality and a classification of stable Weiss towers
Connor Malin, Niall Taggart
We introduce a version of Koszul duality for categories, which extends the Koszul duality of operads and right modules. We demonstrate that the derivatives which appear in Weiss ca…
One point compactifications of configuration spaces and the self duality of the little disks operad
Connor Malin
Using configuration space level Pontryagin--Thom constructions, we construct a simple Koszul self duality map for the little disks operad . For a framed -manifol…
Koszul self duality of manifolds
Connor Malin
We show that Koszul duality for operads in can be expressed via generalized Thom complexes. As an application, we prove the Koszul self duality of the littl…
The stable embedding tower and operadic structures on configuration spaces
Connor Malin
Given smooth manifolds and , manifold calculus studies the space of embeddings via the "embedding tower", which is constructed using the homotopy t…
An elementary proof of the homotopy invariance of stabilized configuration spaces
Connor Malin
In this paper we give an elementary proof of the proper homotopy invariance of the equivariant stable homotopy type of the configuration space for a topological manifold $…